text stringlengths 256 2k | language stringclasses 2
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numbers: is prime
-----------------
Inquiry: Is 8307374 a prime number?
Ans: False
Inquiry: Is 148550387 prime?
Ans: True
Inquiry: Is 561579215 a composite number?
Ans: True
Inquiry: Is 1069171 a composite number?
Ans: False
Inquiry: Is 4295107303 a composite number?
Ans: False
Inquiry: Is 18370801447 composite?
Ans: T... | english |
numbers: is prime
-----------------
Example: Is 384872087 composite?
Clarification: True
Example: Is 305834407 prime?
Clarification: True
Example: Is 231491 a composite number?
Clarification: True
Example: Is 17729 composite?
Clarification: False
Example: Is 2135696999 composite?
Clarification: False
Example: Is 96583 ... | english |
measurement: time
-----------------
Given: What is 488 minutes before 5:50 PM?
Answer: 9:42 AM
Given: How many minutes are there between 9:55 AM and 12:03 PM?
Answer: 128
Given: How many minutes are there between 4:22 PM and 2:10 AM?
Answer: 588
Given: How many minutes are there between 6:09 PM and 10:12 PM?
Answer: 24... | english |
numbers: place value
--------------------
Problem: What is the units digit of 26069586?
Reply: 6
Problem: What is the thousands digit of 4079711?
Reply: 9
Problem: What is the hundreds digit of 1536769?
Reply: 7
Problem: What is the tens digit of 305?
Reply: 0
Problem: What is the thousands digit of 1710?
Reply: 1
Prob... | english |
measurement: conversion
-----------------------
Query: What is 1/5 of a kilogram in grams?
Reply: 200
Query: What is three tenths of a meter in millimeters?
Reply: 300
Query: What is 8/25 of a kilometer in meters?
Reply: 320
Query: How many nanoseconds are there in 21/4 of a microsecond?
Reply: 5250
Query: How many mil... | english |
arithmetic: div
---------------
Problem Statement: What is 2 divided by 20?
Final Answer: 1/10
Problem Statement: 27389025 divided by 3043225
Final Answer: 9
Problem Statement: -8530 divided by -853
Final Answer: 10
Problem Statement: Divide 2 by 2.
Final Answer: 1
Problem Statement: -2 divided by -57067930
Final Answe... | english |
probability: swr p level set
----------------------------
Topic: Four letters picked without replacement from {b: 1, i: 1, n: 1, a: 1, f: 1}. What is prob of picking 1 b, 2 f, and 1 a?
Thus: 0
Topic: Two letters picked without replacement from {v: 1, g: 2, c: 1}. What is prob of picking 1 v and 1 g?
Thus: 1/3
Topic: Wh... | english |
numbers: div remainder
----------------------
What if: What is the remainder when 47 is divided by 27?
Eval: 20
What if: Calculate the remainder when 71826 is divided by 11.
Eval: 7
What if: What is the remainder when 15972690 is divided by 936?
Eval: 786
What if: Calculate the remainder when 6360779 is divided by 1599... | english |
numbers: is prime
-----------------
Example: Is 308291 composite?
Output: False
Example: Is 26891 composite?
Output: False
Example: Is 7069 a prime number?
Output: True
Example: Is 5671 composite?
Output: True
Example: Is 2434847117 prime?
Output: False
Example: Is 186451 a composite number?
Output: False
Example: Is 6... | english |
numbers: is factor
------------------
What if: Is 67 a factor of 1961693?
Response: True
What if: Is 190 a factor of 2443970?
Response: True
What if: Is 18550 a multiple of 25?
Response: True
What if: Is 2233 a factor of 980443310?
Response: True
What if: Is 20 a factor of 2240?
Response: True
What if: Is 595 a multipl... | english |
numbers: is prime
-----------------
Problem: Is 3569939 a composite number?
Sol: False
Problem: Is 17970047 a prime number?
Sol: True
Problem: Is 998 prime?
Sol: False
Problem: Is 271532909 a prime number?
Sol: False
Problem: Is 128753681 a composite number?
Sol: True
Problem: Is 457 composite?
Sol: False
Problem: Is 6... | english |
measurement: conversion
-----------------------
Given: How many hours are there in 3795251.4ms?
Soln: 1.0542365
Given: What is 25/7 of a week in minutes?
Soln: 36000
Given: Convert 0.783319 nanometers to millimeters.
Soln: 0.000000783319
Given: What is seven sixths of a millennium in months?
Soln: 14000
Given: How many... | english |
numbers: gcd
------------
Q): Calculate the highest common divisor of 77433686 and 7690.
Workthrough: 1538
Q): What is the highest common factor of 547341 and 111?
Workthrough: 111
Q): Calculate the greatest common factor of 15 and 3533914020.
Workthrough: 15
Q): What is the greatest common divisor of 12512 and 3404?
W... | english |
numbers: is prime
-----------------
Step: Is 1734873845 composite?
Workthrough: True
Step: Is 62852501 a prime number?
Workthrough: True
Step: Is 77663 prime?
Workthrough: False
Step: Is 3893341295 a prime number?
Workthrough: False
Step: Is 2345328173 composite?
Workthrough: False
Step: Is 2738541413 prime?
Workthroug... | english |
numbers: gcd
------------
Q: What is the greatest common factor of 2 and 64?
Fix: 2
Q: Calculate the greatest common factor of 239700 and 2256.
Fix: 564
Q: What is the greatest common factor of 10396 and 2712?
Fix: 452
Q: Calculate the greatest common divisor of 25 and 125.
Fix: 25
Q: What is the highest common factor ... | english |
probability: swr p sequence
---------------------------
Problem: Three letters picked without replacement from xxrxbxxxxxxbxxrrxx. Give prob of sequence xbr.
Solution: 13/816
Problem: What is prob of sequence ibub when four letters picked without replacement from {u: 9, b: 2, i: 2}?
Solution: 3/1430
Problem: Calculate ... | english |
measurement: conversion
-----------------------
Challenge: What is one tenth of a day in seconds?
Result: 8640
Challenge: What is 2.505319 millilitres in litres?
Result: 0.002505319
Challenge: What is 1/10 of a litre in millilitres?
Result: 100
Challenge: What is 43/2 of a millimeter in micrometers?
Result: 21500
Chall... | english |
numbers: div remainder
----------------------
Q): Calculate the remainder when 396007 is divided by 43898.
Yields: 925
Q): What is the remainder when 46533 is divided by 1622?
Yields: 1117
Q): What is the remainder when 82859 is divided by 41419?
Yields: 21
Q): What is the remainder when 1492 is divided by 569?
Yields:... | english |
measurement: time
-----------------
Let us solve: What is 462 minutes after 10:29 AM?
Finding: 6:11 PM
Let us solve: What is 160 minutes before 2:57 AM?
Finding: 12:17 AM
Let us solve: What is 154 minutes after 7:54 AM?
Finding: 10:28 AM
Let us solve: What is 670 minutes before 10:17 PM?
Finding: 11:07 AM
Let us solve:... | english |
numbers: gcd
------------
Task: Calculate the highest common divisor of 584 and 6167551.
Soln: 73
Task: Calculate the highest common divisor of 87947 and 155.
Soln: 31
Task: Calculate the highest common factor of 45 and 1035.
Soln: 45
Task: What is the greatest common divisor of 328750 and 1875?
Soln: 625
Task: What is... | english |
numbers: is factor
------------------
Math Problem: Is 40 a factor of 20000?
Result: True
Math Problem: Is 17 a factor of 36?
Result: False
Math Problem: Is 41 a factor of 2792?
Result: False
Math Problem: Is 17559878 a multiple of 7?
Result: True
Math Problem: Is 121293282 a multiple of 501?
Result: False
Math Problem... | english |
numbers: place value
--------------------
Request: What is the tens digit of 6104789?
Thus: 8
Request: What is the thousands digit of 27857343?
Thus: 7
Request: What is the tens digit of 7055?
Thus: 5
Request: What is the billions digit of 2689711400?
Thus: 2
Request: What is the thousands digit of 138109?
Thus: 8
Requ... | english |
arithmetic: nearest integer root
--------------------------------
Challenge: What is the cube root of 52 to the nearest integer?
Interpretation: 4
Challenge: What is 20141 to the power of 1/2, to the nearest integer?
Interpretation: 142
Challenge: What is 550419 to the power of 1/3, to the nearest integer?
Interpretati... | english |
arithmetic: nearest integer root
--------------------------------
Step: What is 69966241 to the power of 1/3, to the nearest integer?
Hence: 412
Step: What is the third root of 131219 to the nearest integer?
Hence: 51
Step: What is 2709475 to the power of 1/3, to the nearest integer?
Hence: 139
Step: What is 2683736 to... | english |
numbers: gcd
------------
Example: What is the highest common factor of 8 and 100?
Conclusion: 4
Example: Calculate the highest common divisor of 1703358 and 2422.
Conclusion: 346
Example: What is the greatest common factor of 14308 and 2845528?
Conclusion: 196
Example: Calculate the highest common factor of 551 and 76... | english |
probability: swr p level set
----------------------------
Part A: Two letters picked without replacement from {t: 2, u: 10, e: 3}. Give prob of picking 2 u.
Hence: 3/7
Part A: Two letters picked without replacement from {u: 5, o: 2, p: 4}. What is prob of picking 1 p and 1 o?
Hence: 8/55
Part A: What is prob of picking... | english |
numbers: place value
--------------------
Q=: What is the ten thousands digit of 19168?
Math A: 1
Q=: What is the tens digit of 57088764?
Math A: 6
Q=: What is the millions digit of 20970490?
Math A: 0
Q=: What is the hundreds digit of 3076891?
Math A: 8
Q=: What is the units digit of 7704555?
Math A: 5
Q=: What is the... | english |
numbers: place value
--------------------
Prompt: What is the tens digit of 7112114?
Result: 1
Prompt: What is the tens digit of 4356435?
Result: 3
Prompt: What is the tens digit of 2334?
Result: 3
Prompt: What is the tens digit of 1371?
Result: 7
Prompt: What is the units digit of 72427?
Result: 7
Prompt: What is the ... | english |
numbers: gcd composed
---------------------
Problem Statement: Let f(r) = r + 7 - 4*r**2 + 0*r**2 + 8*r - r**2 - r**3. Let g be f(-7). What is the highest common divisor of 6 and g?
Interpretation: 6
Problem Statement: Let k be 558/(-9*(-40)/60). Suppose 5*x + 3*b = 325, -228 = -4*x - 3*b + 7*b. Calculate the highest c... | english |
numbers: div remainder
----------------------
Q=: Calculate the remainder when 842 is divided by 121.
Calculation: 116
Q=: What is the remainder when 829 is divided by 691?
Calculation: 138
Q=: What is the remainder when 703 is divided by 32?
Calculation: 31
Q=: Calculate the remainder when 2177 is divided by 86.
Calcu... | english |
numbers: place value
--------------------
Example: What is the units digit of 1590?
A: 0
Example: What is the thousands digit of 8274936?
A: 4
Example: What is the thousands digit of 6755414?
A: 5
Example: What is the ten thousands digit of 20846?
A: 2
Example: What is the hundreds digit of 2413487413?
A: 4
Example: Wh... | english |
numbers: is factor
------------------
Problem: Is 91620510 a multiple of 37?
Interpretation: True
Problem: Is 696423 a multiple of 11?
Interpretation: False
Problem: Is 466 a factor of 1765444262?
Interpretation: True
Problem: Is 670 a factor of 1378860?
Interpretation: True
Problem: Is 90 a factor of 14111?
Interpreta... | english |
numbers: is prime
-----------------
Issue: Is 47654213851 a composite number?
Workthrough: False
Issue: Is 305618 a composite number?
Workthrough: True
Issue: Is 167015645 composite?
Workthrough: True
Issue: Is 150375809 a prime number?
Workthrough: True
Issue: Is 825964673 a composite number?
Workthrough: False
Issue:... | english |
probability: swr p level set
----------------------------
Scenario: What is prob of picking 1 a and 2 d when three letters picked without replacement from dwlladwklwd?
Eval: 1/55
Scenario: Calculate prob of picking 2 o, 1 k, and 1 i when four letters picked without replacement from mvvvvzivviokzzovkkzz.
Eval: 2/1615
Sc... | english |
measurement: time
-----------------
Example: How many minutes are there between 8:16 AM and 4:02 PM?
Explanation: 466
Example: What is 292 minutes before 7:58 PM?
Explanation: 3:06 PM
Example: What is 52 minutes after 8:51 PM?
Explanation: 9:43 PM
Example: How many minutes are there between 10:04 AM and 4:46 PM?
Explan... | english |
probability: swr p sequence
---------------------------
Request: Three letters picked without replacement from ynbbbsnbdd. Give prob of sequence sdb.
Soln: 1/90
Request: What is prob of sequence llal when four letters picked without replacement from {a: 3, v: 1, l: 11}?
Soln: 33/364
Request: Calculate prob of sequence ... | english |
measurement: conversion
-----------------------
Q-: How many millilitres are there in 73/4 of a litre?
Solution: 18250
Q-: How many decades are there in 443.5851 years?
Solution: 44.35851
Q-: How many micrograms are there in one fifth of a milligram?
Solution: 200
Q-: What is twenty-one quarters of a year in months?
So... | english |
numbers: div remainder
----------------------
Task: Calculate the remainder when 194645 is divided by 194609.
A.: 36
Task: Calculate the remainder when 92270 is divided by 44800.
A.: 2670
Task: Calculate the remainder when 670183 is divided by 12185.
A.: 8
Task: Calculate the remainder when 1020538 is divided by 2144.
... | english |
probability: swr p level set
----------------------------
Query: Four letters picked without replacement from eteeeeeeeeeeeetetet. Give prob of picking 1 e and 3 t.
Ans: 5/323
Query: Two letters picked without replacement from aammyanaaaaiiaama. Give prob of picking 1 n and 1 a.
Ans: 5/68
Query: What is prob of picking... | english |
measurement: conversion
-----------------------
Task: How many milligrams are there in 83.26768ug?
Sol: 0.08326768
Task: How many micrometers are there in 17/4 of a millimeter?
Sol: 4250
Task: What is 35199.66nm in micrometers?
Sol: 35.19966
Task: How many months are there in 4.576231 centuries?
Sol: 5491.4772
Task: Ho... | english |
probability: swr p level set
----------------------------
Q): Three letters picked without replacement from vfffqvvqqzkzqzqfqq. Give prob of picking 1 k and 2 z.
Reply: 1/272
Q): What is prob of picking 3 r and 1 o when four letters picked without replacement from zodrwwzdrmordoddddz?
Reply: 1/1292
Q): Two letters pick... | english |
probability: swr p sequence
---------------------------
Subject: Two letters picked without replacement from {f: 1, e: 1, x: 1}. What is prob of sequence ex?
A: 1/6
Subject: Four letters picked without replacement from {u: 6, i: 6}. What is prob of sequence iuiu?
A: 5/66
Subject: Three letters picked without replacemen... | english |
arithmetic: nearest integer root
--------------------------------
Let us solve: What is the eighth root of 2333 to the nearest integer?
Explanation: 3
Let us solve: What is 2076 to the power of 1/10, to the nearest integer?
Explanation: 2
Let us solve: What is 10779 to the power of 1/6, to the nearest integer?
Explanat... | english |
numbers: is prime
-----------------
Subject: Is 2021460521 composite?
Result: True
Subject: Is 18602407343 a prime number?
Result: False
Subject: Is 1120468909 a composite number?
Result: True
Subject: Is 12787 a composite number?
Result: True
Subject: Is 4390884923 composite?
Result: True
Subject: Is 803539591 composi... | english |
probability: swr p level set
----------------------------
Puzzle: What is prob of picking 3 m when three letters picked without replacement from {l: 15, m: 5}?
Compute: 1/114
Puzzle: Three letters picked without replacement from {t: 5, p: 7}. What is prob of picking 3 p?
Compute: 7/44
Puzzle: Three letters picked witho... | english |
numbers: is factor
------------------
Prompt: Is 2073 a multiple of 99?
Compute: False
Prompt: Is 32625 a multiple of 87?
Compute: True
Prompt: Is 19 a factor of 246552436?
Compute: True
Prompt: Is 3 a factor of 2148479?
Compute: False
Prompt: Is 25 a factor of 3224?
Compute: False
Prompt: Does 33 divide 3924596?
Compu... | english |
numbers: place value
--------------------
Item: What is the thousands digit of 49039014?
Gives: 9
Item: What is the ten thousands digit of 138666693?
Gives: 6
Item: What is the units digit of 59250?
Gives: 0
Item: What is the tens digit of 116341370?
Gives: 7
Item: What is the hundred millions digit of 353558226?
Gives... | english |
numbers: is prime
-----------------
Scenario: Is 192353177 a composite number?
Gives: False
Scenario: Is 104865574861 prime?
Gives: True
Scenario: Is 9115 a prime number?
Gives: False
Scenario: Is 26671 a composite number?
Gives: True
Scenario: Is 900107 composite?
Gives: True
Scenario: Is 232063409 prime?
Gives: True
... | english |
numbers: place value
--------------------
Issue: What is the hundreds digit of 342279?
Answer: 2
Issue: What is the tens digit of 2657?
Answer: 5
Issue: What is the units digit of 6011?
Answer: 1
Issue: What is the hundreds digit of 36063?
Answer: 0
Issue: What is the hundreds digit of 15841467?
Answer: 4
Issue: What i... | english |
probability: swr p sequence
---------------------------
Subject: Three letters picked without replacement from {h: 2, r: 1, c: 1, e: 1, j: 4}. What is prob of sequence hjr?
Math A: 1/63
Subject: Two letters picked without replacement from dddwwtstdgtwwdsw. What is prob of sequence ws?
Math A: 1/24
Subject: Four letters... | english |
numbers: gcd
------------
Ask: Calculate the highest common divisor of 4512 and 3243.
Eval: 141
Ask: Calculate the highest common factor of 27 and 543.
Eval: 3
Ask: What is the highest common factor of 175 and 25?
Eval: 25
Ask: What is the highest common factor of 10420657 and 754?
Eval: 377
Ask: What is the highest co... | english |
measurement: time
-----------------
Qn: What is 35 minutes before 9:18 PM?
Solution: 8:43 PM
Qn: What is 166 minutes after 7:11 AM?
Solution: 9:57 AM
Qn: What is 353 minutes before 1:45 PM?
Solution: 7:52 AM
Qn: What is 388 minutes before 12:10 AM?
Solution: 5:42 PM
Qn: What is 9 minutes before 12:01 AM?
Solution: 11:5... | english |
arithmetic: nearest integer root
--------------------------------
Test item: What is 799 to the power of 1/2, to the nearest integer?
Steps: 28
Test item: What is 3331120 to the power of 1/7, to the nearest integer?
Steps: 9
Test item: What is the square root of 1041 to the nearest integer?
Steps: 32
Test item: What is... | english |
measurement: time
-----------------
Let us solve: What is 700 minutes before 9:15 PM?
Answer: 9:35 AM
Let us solve: What is 401 minutes after 3:11 PM?
Answer: 9:52 PM
Let us solve: How many minutes are there between 11:59 PM and 6:59 AM?
Answer: 420
Let us solve: How many minutes are there between 10:24 AM and 11:05 AM... | english |
measurement: time
-----------------
Scenario: What is 401 minutes after 3:37 PM?
Yields: 10:18 PM
Scenario: How many minutes are there between 1:45 AM and 4:56 AM?
Yields: 191
Scenario: What is 679 minutes after 2:02 PM?
Yields: 1:21 AM
Scenario: What is 20 minutes after 6:39 PM?
Yields: 6:59 PM
Scenario: What is 270 m... | english |
measurement: time
-----------------
Query: What is 443 minutes after 8:57 PM?
Finding: 4:20 AM
Query: How many minutes are there between 9:05 AM and 10:27 AM?
Finding: 82
Query: What is 472 minutes before 5:06 AM?
Finding: 9:14 PM
Query: What is 605 minutes after 1:16 PM?
Finding: 11:21 PM
Query: How many minutes are t... | english |
numbers: is factor
------------------
Question: Does 21 divide 154557585?
Answer: True
Question: Does 82 divide 59778?
Answer: True
Question: Is 112621 a multiple of 186?
Answer: False
Question: Is 159 a factor of 776566?
Answer: False
Question: Is 3 a factor of 242?
Answer: False
Question: Does 3782 divide 1326146954?... | english |
probability: swr p sequence
---------------------------
Problem #: Calculate prob of sequence qk when two letters picked without replacement from qkqqqqqkkkqqqq.
Clarification: 20/91
Problem #: Three letters picked without replacement from {n: 1, r: 9, y: 2, k: 4, f: 3}. What is prob of sequence fkr?
Clarification: 6/3... | english |
measurement: time
-----------------
Problem: How many minutes are there between 10:30 PM and 1:20 AM?
Result: 170
Problem: How many minutes are there between 11:57 AM and 8:55 PM?
Result: 538
Problem: What is 587 minutes before 7:40 AM?
Result: 9:53 PM
Problem: What is 662 minutes after 5:16 PM?
Result: 4:18 AM
Problem... | english |
probability: swr p sequence
---------------------------
Subject: Two letters picked without replacement from atataltratl. Give prob of sequence al.
Interpretation: 4/55
Subject: Two letters picked without replacement from {s: 3, k: 1, e: 2, p: 1}. Give prob of sequence sk.
Interpretation: 1/14
Subject: Two letters pick... | english |
probability: swr p sequence
---------------------------
Exercise: What is prob of sequence kkb when three letters picked without replacement from {k: 4, g: 1, b: 11, w: 1}?
Eval: 11/340
Exercise: Calculate prob of sequence mt when two letters picked without replacement from {t: 1, m: 2}.
Eval: 1/3
Exercise: Two letters... | english |
arithmetic: nearest integer root
--------------------------------
Problem #: What is 343 to the power of 1/9, to the nearest integer?
Eval: 2
Problem #: What is 1488 to the power of 1/5, to the nearest integer?
Eval: 4
Problem #: What is 8475 to the power of 1/3, to the nearest integer?
Eval: 20
Problem #: What is 4106... | english |
numbers: is factor
------------------
Math Problem: Is 51974 a multiple of 163?
Result: False
Math Problem: Is 20 a factor of 494024737?
Result: False
Math Problem: Is 10 a factor of 99?
Result: False
Math Problem: Is 50 a factor of 2600?
Result: True
Math Problem: Is 9704628 a multiple of 41?
Result: False
Math Proble... | english |
measurement: conversion
-----------------------
Conundrum: Convert 0.5444083 centimeters to kilometers.
Soln: 0.000005444083
Conundrum: How many seconds are there in twenty-two ninths of a hour?
Soln: 8800
Conundrum: How many centimeters are there in seven quarters of a meter?
Soln: 175
Conundrum: How many centuries ar... | english |
numbers: is prime
-----------------
Exercise: Is 7019 composite?
Ans: False
Exercise: Is 95392133 a prime number?
Ans: False
Exercise: Is 77839 composite?
Ans: False
Exercise: Is 822676289 prime?
Ans: True
Exercise: Is 762401 prime?
Ans: True
Exercise: Is 3076354607 prime?
Ans: True
Exercise: Is 7167820717 prime?
Ans: ... | english |
measurement: conversion
-----------------------
Challenge: What is seven eighths of a kilometer in meters?
Eval: 875
Challenge: What is 523842.1 centimeters in millimeters?
Eval: 5238421
Challenge: What is 7.33659ng in micrograms?
Eval: 0.00733659
Challenge: Convert 42.20823 years to months.
Eval: 506.49876
Challenge: ... | english |
arithmetic: nearest integer root
--------------------------------
Ask: What is 2794853956 to the power of 1/2, to the nearest integer?
→: 52866
Ask: What is 8284443 to the power of 1/4, to the nearest integer?
→: 54
Ask: What is 25784516 to the power of 1/2, to the nearest integer?
→: 5078
Ask: What is 93210548 to the ... | english |
numbers: gcd
------------
What if: What is the greatest common factor of 245353 and 219?
Hence: 73
What if: What is the highest common factor of 1189 and 41?
Hence: 41
What if: What is the highest common divisor of 307234 and 1012?
Hence: 46
What if: Calculate the highest common divisor of 169 and 39.
Hence: 13
What if... | english |
probability: swr p level set
----------------------------
Scenario: Two letters picked without replacement from wlmlcmap. Give prob of picking 2 l.
Soln: 1/28
Scenario: What is prob of picking 1 h and 1 f when two letters picked without replacement from {n: 1, h: 2, f: 1, u: 1}?
Soln: 1/5
Scenario: Calculate prob of pi... | english |
numbers: place value
--------------------
Example: What is the tens digit of 377232951?
Fix: 5
Example: What is the tens digit of 2394126?
Fix: 2
Example: What is the hundred thousands digit of 272517975?
Fix: 5
Example: What is the tens digit of 5909977?
Fix: 7
Example: What is the tens digit of 2127643?
Fix: 4
Exampl... | english |
probability: swr p sequence
---------------------------
Prompt: What is prob of sequence efef when four letters picked without replacement from {e: 2, f: 7, p: 4}?
Derivation: 7/1430
Prompt: What is prob of sequence nsx when three letters picked without replacement from {b: 1, x: 1, o: 1, a: 2, s: 1, n: 1}?
Derivation:... | english |
arithmetic: nearest integer root
--------------------------------
Statement: What is 5128328 to the power of 1/5, to the nearest integer?
Compute: 22
Statement: What is the third root of 8255 to the nearest integer?
Compute: 20
Statement: What is the square root of 107641 to the nearest integer?
Compute: 328
Statement:... | english |
arithmetic: nearest integer root
--------------------------------
Q-: What is 2042320 to the power of 1/7, to the nearest integer?
= : 8
Q-: What is the third root of 2763418408 to the nearest integer?
= : 1403
Q-: What is the tenth root of 748 to the nearest integer?
= : 2
Q-: What is the square root of 2767 to the ne... | english |
numbers: place value
--------------------
Q=: What is the hundreds digit of 1895569256?
Therefore: 2
Q=: What is the ten thousands digit of 30664810?
Therefore: 6
Q=: What is the hundreds digit of 28938572?
Therefore: 5
Q=: What is the thousands digit of 501075085?
Therefore: 5
Q=: What is the hundreds digit of 2645559... | english |
probability: swr p level set
----------------------------
Inquiry: Calculate prob of picking 2 j when two letters picked without replacement from njqjjnnjjjn.
Yields: 3/11
Inquiry: Two letters picked without replacement from {p: 3, r: 12}. Give prob of picking 1 r and 1 p.
Yields: 12/35
Inquiry: Four letters picked wit... | english |
probability: swr p sequence
---------------------------
Given: What is prob of sequence vjrj when four letters picked without replacement from xjrdrdrrjprrrv?
Answer: 1/1716
Given: What is prob of sequence ovwx when four letters picked without replacement from {v: 1, o: 1, x: 1, l: 4, r: 3, w: 2}?
Answer: 1/5940
Given:... | english |
numbers: is prime
-----------------
Problem: Is 217455390422 composite?
Resolution: True
Problem: Is 7220438 prime?
Resolution: False
Problem: Is 184263199 a prime number?
Resolution: False
Problem: Is 2503 prime?
Resolution: True
Problem: Is 1844277553 prime?
Resolution: False
Problem: Is 114937 prime?
Resolution: Fal... | english |
probability: swr p level set
----------------------------
Example: Three letters picked without replacement from {l: 2, v: 3}. What is prob of picking 2 l and 1 v?
Gives: 3/10
Example: What is prob of picking 1 q and 1 j when two letters picked without replacement from {o: 1, q: 1, u: 4, j: 6, t: 1}?
Gives: 1/13
Exampl... | english |
probability: swr p level set
----------------------------
Given: What is prob of picking 1 m and 2 f when three letters picked without replacement from {o: 4, m: 2, f: 3, l: 9}?
Finding: 1/136
Given: What is prob of picking 2 r and 2 h when four letters picked without replacement from rrhhhhhhh?
Finding: 1/6
Given: Thr... | english |
numbers: place value
--------------------
Exercise: What is the thousands digit of 1201?
Solution: 1
Exercise: What is the units digit of 17?
Solution: 7
Exercise: What is the hundred millions digit of 576253360?
Solution: 5
Exercise: What is the hundreds digit of 2643?
Solution: 6
Exercise: What is the ten thousands d... | english |
numbers: is prime
-----------------
Case: Is 33887941 a composite number?
Compute: False
Case: Is 182071 composite?
Compute: True
Case: Is 6561861 composite?
Compute: True
Case: Is 22373497 a composite number?
Compute: False
Case: Is 69781121 a composite number?
Compute: True
Case: Is 23791 a prime number?
Compute: Fal... | english |
measurement: conversion
-----------------------
Q/A: What is two ninths of a hour in seconds?
Solution: 800
Q/A: Convert 362.0483 kilograms to nanograms.
Solution: 362048300000000
Q/A: What is twenty-three thirds of a hour in seconds?
Solution: 27600
Q/A: How many days are there in 41662.08ns?
Solution: 0.0000000004822... | english |
numbers: div remainder
----------------------
Let us solve: What is the remainder when 14782 is divided by 685?
Response: 397
Let us solve: What is the remainder when 442864 is divided by 1870?
Response: 1544
Let us solve: Calculate the remainder when 84 is divided by 43.
Response: 41
Let us solve: Calculate the remain... | english |
measurement: time
-----------------
Problem: What is 443 minutes before 12:45 PM?
Outcome: 5:22 AM
Problem: How many minutes are there between 1:43 AM and 7:05 AM?
Outcome: 322
Problem: What is 428 minutes after 2:21 PM?
Outcome: 9:29 PM
Problem: What is 443 minutes after 10:01 PM?
Outcome: 5:24 AM
Problem: How many mi... | english |
numbers: gcd
------------
Request: Calculate the highest common divisor of 3 and 42273.
A: 3
Request: What is the greatest common divisor of 236 and 44?
A: 4
Request: Calculate the greatest common factor of 12 and 3054891.
A: 3
Request: What is the greatest common factor of 84 and 1113?
A: 21
Request: What is the great... | english |
numbers: div remainder
----------------------
Statement: Calculate the remainder when 1300511 is divided by 34221.
Result: 113
Statement: What is the remainder when 77953 is divided by 15?
Result: 13
Statement: What is the remainder when 35 is divided by 17?
Result: 1
Statement: What is the remainder when 544 is divide... | english |
measurement: time
-----------------
Issue: What is 10 minutes after 4:00 AM?
Workthrough: 4:10 AM
Issue: How many minutes are there between 3:28 AM and 8:37 AM?
Workthrough: 309
Issue: How many minutes are there between 1:23 PM and 5:36 PM?
Workthrough: 253
Issue: What is 672 minutes before 9:37 AM?
Workthrough: 10:25 ... | english |
numbers: is prime
-----------------
Test item: Is 87485 composite?
Soln: True
Test item: Is 566617 composite?
Soln: False
Test item: Is 636614243 prime?
Soln: True
Test item: Is 1361 composite?
Soln: False
Test item: Is 18539 a prime number?
Soln: True
Test item: Is 7920133 prime?
Soln: False
Test item: Is 4548689 comp... | english |
numbers: is prime
-----------------
Request: Is 31706827 a prime number?
Calculation: True
Request: Is 4238231 a prime number?
Calculation: True
Request: Is 13577777 a prime number?
Calculation: True
Request: Is 342136369 prime?
Calculation: False
Request: Is 3882277 a prime number?
Calculation: False
Request: Is 10712... | english |
numbers: place value
--------------------
Inquiry: What is the thousands digit of 665320?
Ans: 5
Inquiry: What is the hundred millions digit of 3772391247?
Ans: 7
Inquiry: What is the tens digit of 7893?
Ans: 9
Inquiry: What is the hundred thousands digit of 969083796?
Ans: 0
Inquiry: What is the tens digit of 14733344... | english |
numbers: is prime
-----------------
Example: Is 4813819 composite?
Compute: True
Example: Is 46577 a composite number?
Compute: True
Example: Is 6004194257 a prime number?
Compute: False
Example: Is 17170141 a prime number?
Compute: False
Example: Is 1569413 a prime number?
Compute: True
Example: Is 243921 prime?
Compu... | english |
numbers: gcd
------------
Exercise: Calculate the greatest common divisor of 322 and 237958.
Compute: 322
Exercise: Calculate the greatest common divisor of 114084894 and 84.
Compute: 42
Exercise: What is the highest common factor of 35 and 3?
Compute: 1
Exercise: What is the highest common divisor of 1272 and 48?
Comp... | english |
numbers: div remainder
----------------------
Q: Calculate the remainder when 1143 is divided by 52.
A: 51
Q: What is the remainder when 415 is divided by 16?
A: 15
Q: What is the remainder when 596 is divided by 97?
A: 14
Q: Calculate the remainder when 14482688 is divided by 1072.
A: 1040
Q: Calculate the remainder w... | english |
numbers: place value
--------------------
Qn: What is the units digit of 163306130?
Eval: 0
Qn: What is the units digit of 3208?
Eval: 8
Qn: What is the tens digit of 30268?
Eval: 6
Qn: What is the units digit of 2107?
Eval: 7
Qn: What is the hundreds digit of 119523?
Eval: 5
Qn: What is the units digit of 399910?
Eval... | english |
numbers: place value
--------------------
Example: What is the hundreds digit of 189947450?
Thus: 4
Example: What is the tens digit of 174?
Thus: 7
Example: What is the units digit of 1124333?
Thus: 3
Example: What is the ten thousands digit of 33113?
Thus: 3
Example: What is the units digit of 539?
Thus: 9
Example: Wh... | english |
probability: swr p level set
----------------------------
Conundrum: Three letters picked without replacement from {t: 3, j: 3, b: 4, z: 2, i: 4}. Give prob of picking 3 b.
A: 1/140
Conundrum: Two letters picked without replacement from {v: 1, n: 1, s: 1, r: 3, i: 1}. Give prob of picking 1 n and 1 v.
A: 1/21
Conundrum... | english |
measurement: conversion
-----------------------
Q.: Convert 25751.99 micrograms to kilograms.
Solution: 0.00002575199
Q.: How many meters are there in 530538.3cm?
Solution: 5305.383
Q.: How many kilograms are there in thirteen quarters of a tonne?
Solution: 3250
Q.: What is three fifths of a litre in millilitres?
Solut... | english |
measurement: time
-----------------
Task: What is 323 minutes before 5:47 PM?
Response: 12:24 PM
Task: How many minutes are there between 11:04 AM and 8:42 PM?
Response: 578
Task: How many minutes are there between 9:55 AM and 7:36 PM?
Response: 581
Task: How many minutes are there between 7:03 AM and 7:54 AM?
Response... | english |
numbers: is factor
------------------
Let us solve: Does 6 divide 42?
Eval: True
Let us solve: Is 61 a factor of 2282?
Eval: False
Let us solve: Does 2 divide 12889999?
Eval: False
Let us solve: Does 6 divide 1209696?
Eval: True
Let us solve: Does 272 divide 8590166?
Eval: False
Let us solve: Does 77 divide 794685122?
... | english |
probability: swr p sequence
---------------------------
Problem: Three letters picked without replacement from {i: 3, w: 6, g: 2, q: 1}. What is prob of sequence www?
Key: 1/11
Problem: What is prob of sequence ca when two letters picked without replacement from {c: 4, x: 13, a: 3}?
Key: 3/95
Problem: Four letters pick... | english |
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